He will take the place of Carolyn Quinn on the 'Today' team, alongside John Humphrys, Sarah Montagu, James Naughtie and Edward Stourton.
Quinn, who has presented 'Today' part-time since January 2004, is leaving to focus on her other Radio 4 presenting commitments, 'The Westminster Hour' and 'PM'.
Davis said: "It's perhaps a bit annoying to take a break from my current job just at the very time the economy seems to be getting interesting. But 'Today' is a radio institution and I'd obviously be mad to turn down a chance to present it."